Respuesta :

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{y = 10}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{8(7 - y) = - 24}[/tex]

Distribute 8 through the parentheses

[tex] \longrightarrow{ \sf{8 \times 7 - 8 \times y = - 24}}[/tex]

[tex] \longrightarrow{ \sf{56 - 8y = - 24}}[/tex]

Move 56 to right hand side and change it's sign

[tex] \longrightarrow{ \sf{ - 8y = - 24 - 56}}[/tex]

The negative integers are always added but posses the negative ( - ) sign

[tex] \longrightarrow{ \sf{ - 8y = - 80}}[/tex]

Divide both sides by -8

[tex] \longrightarrow{ \sf{ \frac{ - 8y}{ - 8} = \frac{ - 80}{ - 8} }}[/tex]

Calculate

[tex] \longrightarrow{ \sf{y = 10}}[/tex]

Hope I helped!

Best regards! :D